Ravi Shankar

Instructor

Department of Mathematics

Princeton University

rs1838@princeton.edu

I received my PhD in 2021 at the University of Washington with advisors Gunther Uhlmann and Yu Yuan.  My postdoctoral mentor is Alice Chang.

I have a general interest in PDEs.  My work to date has been concerned with the following: 

Fully nonlinear elliptic PDEs without uniform ellipticity (sigma-k and special Lagrangian equations),

Inverse problems of the lens rigidity and Calderón type,

Symmetries and conservation laws of fluid equations and general PDEs,

Applied mathematics, including numerical simulations of tsunami waves, singular perturbation theory of thin film PDEs, and nonlocal operators with integrable kernels.